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Finding the Fourth Proportional to 4,476.96, 6,177.80 and 2,487.41

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Solution

The fourth proportional to 4,476.96, 6,177.80 and 2,487.41 is: 3,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.96 : 6,177.80 = 2,487.41 : x
  2. Step 2: Convert to fraction form
    4,476.96/6,177.80 = 2,487.41/x
  3. Step 3: Cross multiply
    4,476.96x = 6,177.80 × 2,487.41
  4. Step 4: Simplify right side
    4,476.96x = 15,366,678.17
  5. Step 5: Solve for x
    x = 15,366,678.17/4,476.96
  6. Step 6: Final answer
    x = 3,432.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.